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Simplifying 4(-2x + -8) = 4(8x + 5) Reorder the terms: 4(-8 + -2x) = 4(8x + 5) (-8 * 4 + -2x * 4) = 4(8x + 5) (-32 + -8x) = 4(8x + 5) Reorder the terms: -32 + -8x = 4(5 + 8x) -32 + -8x = (5 * 4 + 8x * 4) -32 + -8x = (20 + 32x) Solving -32 + -8x = 20 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -32 + -8x + -32x = 20 + 32x + -32x Combine like terms: -8x + -32x = -40x -32 + -40x = 20 + 32x + -32x Combine like terms: 32x + -32x = 0 -32 + -40x = 20 + 0 -32 + -40x = 20 Add '32' to each side of the equation. -32 + 32 + -40x = 20 + 32 Combine like terms: -32 + 32 = 0 0 + -40x = 20 + 32 -40x = 20 + 32 Combine like terms: 20 + 32 = 52 -40x = 52 Divide each side by '-40'. x = -1.3 Simplifying x = -1.3
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